Question

Use the tables to determine the value of each composite function

Answer 1

to solve this first we need to find out the value of the inside function and then of the outside:

f(g(-7))

first, we need to know g(-7), and from the bottom table we can see is 21

now we replace it:

f(g(-7)) = f(21) and on the top table we see it's -3

so the answer of a is -3

and the same for the others:

b. f(g(-5))

g(-5)= 11

f(g(-5))=f(11)= 6

so b. 6

c. g(f(8)) here we need to see the top table first

f(8)=9

g(f(8))=g(9)= 8

so c. 8

d. g(f(14))

f(14)=3

g(f(14))=g(3)= 15

so d.15